Home
Class 11
MATHS
The diagonals of the parallelogram whose...

The diagonals of the parallelogram whose sides are lx+my+n=0,lx+my+n'=0,mx+ly+n=0,mx+ly+n'=0 include an angle

A

`pi/3`

B

`pi/2`

C

`tan^(-1)((l^2-m^2)/(l^2 + m^2))`

D

`tan^(-1)((2lm)/(l^2+m^2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION

    PATHFINDER|Exercise QUESTION BANK|68 Videos

  • CIRCLE

    PATHFINDER|Exercise QUESTION BANK|198 Videos

Similar Questions

Explore conceptually related problems

The equation of the two adjacent sides of a parallelogram are 4x+ 5y = 0 and 7x + 2y =.0and equation of one of the diagonal is 1 lx + 7y = 9, find the equation of other diagonal.

Find the equation of a circle circumscribing the triangle whose sides are x=0 , y=0 and lx +my =1. If l, m vary so that l^(2) + m^(2) = 4l^(2)m^(2) , find the locus of the centre of the circle.

Find the angle between the line whose direction cosines are given by l+m+n=0a n dl^2+m^2-n^2=0.

Find the angle between the line whose direction cosines are given by l+m+n=0a n d2l^2+2m^2-n^2=0.

If the locus of the circumcentre of variable triangle having sides x = 0 , y = 2 and lx + my = 1 where (l , m) lies on the Parabola y^(2) = 4 ax is a curve 'C' then Coorrdinates of the vertex of this curve 'C' is _

Let the sides of a parallelogram be U=a, U=b,V=a' and V=b', where U=lx+my+n, V=l'x+m'y+n'. Show that the equation of the diagonal through the point of intersection of U=a, V=a' and U=b, V=b' " is given by " |{:(U,V,1),(a,a',1),(b,b',1):}| =0.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0a n d2lm+2n l-m n=0.

The number of diagonal matrix, A of order n which A^3=A is a. 1 b. 0 c. 2^n d. 3^n

Show that the equation of the circles which touches the coordinates axes and whose centre lies on the straight line lx + my + n = 0 is (l+m)^(2) (x^(2) + y^(2)) + 2n(l+m) (x+y) + n^(2) = 0

PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
  1. Consider the point A(3,4) and B(7,13).If P be a point on the line y=x,...

    Text Solution

    |

  2. The number of integral values of 'm' for which the x coordinate of the...

    Text Solution

    |

  3. The diagonals of the parallelogram whose sides are lx+my+n=0,lx+my+n'=...

    Text Solution

    |

  4. Let PQR be a right angled isosceles triangle, right angled at P(2,1). ...

    Text Solution

    |

  5. The equation of straight line passing through the origin and making an...

    Text Solution

    |

  6. If pairs of straight lines x^2-2pxy-y^2=0and x^2-2qxy-y^2=0 be such th...

    Text Solution

    |

  7. If the equation ax^2+2hxy+by^2+2gx+2fy+c=0 represents a pair of paral...

    Text Solution

    |

  8. If the angle between the lines represented by 2x^2+5xy+3y^2+7x+13y-3=0...

    Text Solution

    |

  9. The combine equation of the lines passing through the origin and havin...

    Text Solution

    |

  10. If alpha,betagt0 and alphaltbeta and ax^2+4gammaxy+betay^2+4p(x+y+1)=0...

    Text Solution

    |

  11. The equation of image of pair of lines y = |x-1| in y-axis is

    Text Solution

    |

  12. For all real values of a and b lines (2a+b)x + (a+3b)y+(b-3a)=0 and mx...

    Text Solution

    |

  13. If 5a+4b+20c=t,then the value of t for which the line ax+by+c-1=0 alwa...

    Text Solution

    |

  14. Find the area of the region bounded by y^2+xy+10|x|-100=0 in x-y plane

    Text Solution

    |

  15. Find the incentre of the triangle with vertices (0,0), (0,21) and (21,...

    Text Solution

    |

  16. Area of the parallelogram formed by the lines y=mx,y=mx+1,y=nx and y= ...

    Text Solution

    |

  17. If 2/(1!9!)+2/(3!7!)+1/(5!5!)=2^m/(n!) , then orthocentre of the trian...

    Text Solution

    |

  18. Draw from origin are two mutually perpendicular lines forming an isosc...

    Text Solution

    |

  19. If the distance of any point (x,y) from origin is defined as d(x,y)=ma...

    Text Solution

    |

  20. If f(x+y)=f(x)f(y),forall x,y,inR and f(1)=2, then area enclosed by 3|...

    Text Solution

    |